关于带挠率的Dirac算子的一类Kastler-Kalau-Walze类型定理  

A Kastler-Kalau-Walze type theorem about Dirac operators with torsion

作　　者：孙爱慧[1] 包开花 夏令远 SUN Ai-hui;BAO Kai-hua;XIA Ling-yuan(College of Mathematics,Jilin Normal University,Siping 136000,China;School of Mathematics and Physics,Inner Mongolia University for Nationalities,Tongliao 028000,China;School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]内蒙古民族大学数理学院,内蒙古通辽028000 [3]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2021年第4期23-29,共7页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11901322);吉林师范大学博士启动项目(2019001).

摘　　要：在任意偶数维带边Spin流形上建立了一类关于带挠率的Dirac算子的Kastler-Kalau-Walze类型定理,为相应流形上的Einstein-Hilbert作用给出了简单的算子理论解释.A Kastler-Kalau-Walze type theorem for any even dimensional manifolds with boundary about Dirac operators with torsion was established,and a simple theoretical explanation was given to Einstein-Hilbert action for any even dimensional manifolds with boundary.

关 键 词：带挠率的Dirac算子 非交换留数 低维体积 任意偶数维带边流形 

分 类 号：O186[理学—数学]